By using the Inverse Scattering Transform we construct an explicit soliton solution formula for the Hirota equation. The formula obtained allows one to get, as a particular case, the N-soliton solution, the breather solution and, most relevantly, a new class of solutions called multipole soliton solutions. We use these exact solutions to study the motion of a vortex filament in an incompressible Euler fluid with nonzero axial velocity.
Titolo: | Exact solutions of the Hirota equation and vortex filaments motion |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
Handle: | http://hdl.handle.net/11584/134373 |
Tipologia: | 1.1 Articolo in rivista |
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